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242412410044 = 227174347594271
BaseRepresentation
bin1110000111000011100…
…1111101010010111100
3212011201010201100110001
43201300321331102330
512432430034110134
6303210203124044
723341130326150
oct3416071752274
9764633640401
10242412410044
1193896538652
123ab93513624
1319b23113bac
14ba38c1d060
15648bb34414
hex3870e7d4bc

242412410044 has 192 divisors, whose sum is σ = 545678622720. Its totient is φ = 91867991040.

The previous prime is 242412410039. The next prime is 242412410057. The reversal of 242412410044 is 440014214242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 242412409994 and 242412410021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56755629 + ... + 56759899.

It is an arithmetic number, because the mean of its divisors is an integer number (2842076160).

Almost surely, 2242412410044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242412410044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272839311360).

242412410044 is an abundant number, since it is smaller than the sum of its proper divisors (303266212676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242412410044 is a wasteful number, since it uses less digits than its factorization.

242412410044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 242412410044 its reverse (440014214242), we get a palindrome (682426624286).

The spelling of 242412410044 in words is "two hundred forty-two billion, four hundred twelve million, four hundred ten thousand, forty-four".